Integrate the Function $$\int \frac { 28 d x } { x ^ { 2 } \sqrt { x ^ { 2 } + 16 } }$$

question 181

Multiple Choice

Integrate the function.
- $$\int \frac { 28 d x } { x ^ { 2 } \sqrt { x ^ { 2 } + 16 } }$$

• A) \(\frac { 7 \sqrt { x ^ { 2 } + 16 } } { 4 x } + C\)
• B) \(- \frac { 7 \sqrt { x ^ { 2 } + 16 } } { 4 x } + C\)
• C) \(\frac { 4 \sqrt { x ^ { 2 } + 16 } } { 7 x } + C\)
• D) \(- \frac { \sqrt { x ^ { 2 } + 16 } } { 7 x } + C\)

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Definitions:

Perceptual Invariance

The ability to recognize objects as remaining the same under different conditions, such as changes in lighting, angle, or distance.

Action Potentials

The rapid rise and fall of electrical voltage across a cell's membrane, allowing neurons to transmit signals along their axons.

Inhibitory Synapses

Connections between neurons that decrease the likelihood of the firing action potential of receiving neuron, thus inhibiting neural activity.

Sensation

The process of sensing through touch, taste, sight, sound, and smell, and how our brains interpret these sensory experiences.